If there were 64 sixth graders, list all of the ways they could have been divided equally into groups of 10 or fewer students?

1 Answer
Nov 19, 2016

There are four ways in which sixth graders could have been divided equally into groups of 10 or fewer students.

Explanation:

We have 64 sixth graders. Let us write the group sizes of 10 or fewer size in which they can be divided equally starting from 1 in increasing order in a column (these will be obviously factors of 64) and then against them, let us write the number of groups.

The result is as follows:

Number of groupsXXXXXXGroup Size

XX1XXXXXXXXXXXXXXX64
XX2XXXXXXXXXXXXXXX32
XX4XXXXXXXXXXXXXXX16
XX8XXXXXXXXX×XXXXX8

As next number can only be 16, which is greater than 0, we stop here. Hence

There are four ways in which sixth graders could have been divided equally into groups of 10 or fewer students.